Greatest Common Factor of 5958 and 5964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5958, 5964 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5958 and 5964 is 6.

GCF(5958,5964) = 6

GCF of 5958 and 5964

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5958 and 5964

GCF of 5958 and 5964 is 6

Prime Factorization of 5958


2 5958
3 2979
3 993
331 331
1

Prime factors of 5958 are 2,3,331. Prime factorization of 5958 in exponential form is:

5958 = 21×32×3311

Prime Factorization of 5964


2 5964
2 2982
3 1491
7 497
71 71
1

Prime factors of 5964 are 2,3,7,71. Prime factorization of 5964 in exponential form is:

5964 = 22×31×71×711

∴ So by taking common prime factors GCF of 5958 and 5964 is 6

Greatest Common Factor of 5958 and 5964 by matching factors method

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964

Greatest Common Factor

We found the factors and prime factorization of 5958 and 5964. The biggest common factor number is the GCF number.
So the greatest common factor 5958 and 5964 is 6.

Also check out the Least Common Multiple of 5958 and 5964

Properties of GCF 5958 and 5964

(i) The GCF of 5958 and 5964 is associative

GCF of 5958 and 5964 = GCF of 5964 and 5958

Related Greatest Common Factor of 5958

Related Greatest Common Factor of 5964

Frequently Asked Questions on GCF of 5958 and 5964

1. What is the GCF of 5958 and 5964?

Answer: GCF of 5958 and 5964 is 6.

2. What are the Factors of 5958?

Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.

3. What are the Factors of 5964?

Answer: Factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964. There are 24 integers that are factors of 5964. The greatest factor of 5964 is 5964.

4. How to Find the GCF of 5958 and 5964?

Answer:

Greatest Common Factor of 5958 and 5964 = 6

Step 1: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

Step 2: Find the prime factorization of 5964

5964 = 2 x 2 x 3 x 7 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5958 and 5964 is 6